Question

can you help?

A rectangular pyramid has a length of 7 cm and a width of 9 cm. Its volume is 231 cubic centimeters.

Use the formula for the volume of a pyramid to calculate the height of this pyramid.

Show all your work.

8th grade level pls

Answer 1

Yes — here's the solution step by step (8th-grade level):

1. Formula for the volume of a pyramid:
V = (1/3) × base area × height

2. Base is a rectangle, so base area B = length × width = 7 cm × 9 cm = 63 cm².

3. Substitute into the volume formula with V = 231 cm³:
231 = (1/3) × 63 × h

4. Compute (1/3) × 63:
(1/3) × 63 = 63 ÷ 3 = 21, so
231 = 21h

5. Solve for h by dividing both sides by 21:
h = 231 ÷ 21 = 11

Answer: The height of the pyramid is 11 cm. (Check: (1/3) × 63 × 11 = 21 × 11 = 231 cm³.)